25365 + Interview Questions in Mathematics Page 37 InterviewSolution

1801.	The maximum area of a rectangle that can be inscribed in a circle x2+y2=25 is equal to (in sq units)
Answer» The maximum area of a rectangle that can be inscribed in a circle $x^{2} + y^{2} = 25$ is equal to (in sq units)

Discussion

1802.	25 men can complete a task in 4 days. How many days does it take for 20 men to complete the same task?
Answer» 25 men can complete a task in 4 days. How many days does it take for 20 men to complete the same task?

Discussion

1803.	The teacher distributes 1 sheet of graph paper to each student. The class has 2b boys and 3g girls. What is the expression for the total number of sheets of graph paper distributed?
Answer» The teacher distributes $1$ sheet of graph paper to each student. The class has $2 b$ boys and $3 g$ girls. What is the expression for the total number of sheets of graph paper distributed?

Discussion

1804.	U = {x: x is a natural number and x ≤ 10}A = {a : a is an even natural number and a < 10} B = {b : b is a prime number and b ≤ 9}What is the value of AI ∩ BI?
Answer» U = {x: x is a natural number and x ≤ 10} $A = {a : a is an even natural number and a < 10}$ B = {b : b is a prime number and b ≤ 9} What is the value of A^I ∩ B^I?

1804.

U = {x: x is a natural number and x ≤ 10}A = {a : a is an even natural number and a < 10} B = {b : b is a prime number and b ≤ 9}What is the value of AI ∩ BI?

Answer»

U = {x: x is a natural number and x ≤ 10}

$A = {a : a is an even natural number and a < 10}$

B = {b : b is a prime number and b ≤ 9}

What is the value of A^I ∩ B^I?

Discussion

1805.	Question 94 (ii)Carry out the following division:76x3yz3÷19x2y2
Answer» Question 94 (ii) Carry out the following division: $76 x^{3} y z^{3} \div 19 x^{2} y^{2}$

1805.

Question 94 (ii)Carry out the following division:76x3yz3÷19x2y2

Answer»

Question 94 (ii)

Carry out the following division:

$76 x^{3} y z^{3} \div 19 x^{2} y^{2}$

Discussion

1806.	Question 61Fill in the blanks to make the statements true.The number of sides of a regular polygon, where each exterior angle has a measure of 36∘, is ___.
Answer» Question 61 Fill in the blanks to make the statements true. The number of sides of a regular polygon, where each exterior angle has a measure of $36^{\circ}$ , is ___.

Discussion

1807.	Nirmala deposited Rs. 300 per month for 12 months in a bank's recurring deposit account. If the interest is 20 %, find the amount she gets on maturity.
Answer» Nirmala deposited Rs. 300 per month for 12 months in a bank's recurring deposit account. If the interest is 20 %, find the amount she gets on maturity.

Discussion

1808.	In a class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?
Answer» In a class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?

Discussion

1809.	A man bought 2 shirts, which together cost him ₹ 480. He sold one of them at a loss of 15% and the other at a gain of 19%. If the selling price of both the shirts are equal, find the cost price of the lower priced shirt.
Answer» A man bought 2 shirts, which together cost him ₹ 480. He sold one of them at a loss of 15% and the other at a gain of 19%. If the selling price of both the shirts are equal, find the cost price of the lower priced shirt.

Discussion

1810.	If length and breadth of a rectangle is 'x' and 'y' respectively, then the perimeter of the rectangle is ____.
Answer» If length and breadth of a rectangle is 'x' and 'y' respectively, then the perimeter of the rectangle is ____.

Discussion

1811.	What is the value 9.4 - 2.6?
Answer» What is the value 9.4 - 2.6?

Discussion

1812.	{ (6) If }p(x)=(1+x^2+x^4+...+x^{2n-2})/(1+x+x^2+...+x^{n-1})}{ is a polynomial in }x, then find possible values of }n.
Answer» { (6) If }p(x)=(1+x^2+x^4+...+x^{2n-2})/(1+x+x^2+...+x^{n-1})}{ is a polynomial in }x, then find possible values of }n.

Discussion

1813.	If 'x' be the number of lines of symmetry for a parallelogram, then the value of x3 is___.\N
Answer» If ' $x$ ' be the number of lines of symmetry for a parallelogram, then the value of $\frac{x}{3}$ is___. \N

Discussion

1814.	The area of a trapezium is 405 cm2. Its parallel sides are in the ratio 4 : 5 and the distance between them is 18 cm. Find the length of each of the parallel sides.
Answer» The area of a trapezium is 405 $c m^{2}$ . Its parallel sides are in the ratio 4 : 5 and the distance between them is 18 cm. Find the length of each of the parallel sides.

Discussion

1815.	Question 77State whether the following statement is true or false:Cube of an even number is odd.
Answer» Question 77 State whether the following statement is true or false: Cube of an even number is odd.

1815.

Question 77State whether the following statement is true or false:Cube of an even number is odd.

Answer»

Question 77

State whether the following statement is true or false:

Cube of an even number is odd.

Discussion

1816.	The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart. [4 MARKS] LanguageNo. of StudentsHindi40English12Marathi9Tamil7Bengali4Total72
Answer» The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart. [4 MARKS] $\begin{matrix} Language & No. of Students Hindi & 40 English & 12 Marathi & 9 Tamil & 7 Bengali & 4 Total & 72 \end{matrix}$

Discussion

1817.	In a flight of 2800 km, an aircraft was slowed down due to today's weather. It's average speed for the trip was reduced by 100 km/hour and the time increased by 30 minutes. Find the original duration of the flight.
Answer» In a flight of $2800 k m,$ an aircraft was slowed down due to today's weather. It's average speed for the trip was reduced by $100 k m /$ hour and the time increased by $30$ minutes. Find the original duration of the flight.

Discussion

1818.	{ 4. Using division algorithm, prove that if }(x+a) is a }}{ factor of }f(x)=ax^3+bx^2+cx+d, then }}{-a^4+a^2b-ac+d=0
Answer» { 4. Using division algorithm, prove that if }(x+a) is a }}{ factor of }f(x)=ax^3+bx^2+cx+d, then }}{-a^4+a^2b-ac+d=0

Discussion

1819.	Find the equation of the circle which passes through the origin and cuts off intercepts 3 unitsand 4 units from the positive parts of the x-axis and y-axis respectively.YA
Answer» Find the equation of the circle which passes through the origin and cuts off intercepts 3 unitsand 4 units from the positive parts of the x-axis and y-axis respectively.YA

Discussion

1820.	Question 51State whether the following statement is True or False.The number of edges in a parallelogram is 4.
Answer» Question 51 State whether the following statement is True or False. The number of edges in a parallelogram is 4.

Discussion

1821.	The mean of the following distribution is:xi10131619fi2576
Answer» The mean of the following distribution is: $\begin{matrix} x_{i} & 10 & 13 & 16 & 19 f_{i} & 2 & 5 & 7 & 6 \end{matrix}$

Discussion

1822.	Question 4(ii)Divide as directed26xy(x+5)(y−4)÷13x(y−4)
Answer» Question 4(ii) Divide as directed $26 x y (x + 5) (y - 4) \div 13 x (y - 4)$

Discussion

1823.	What is the range of 151, 213, -196, 372 and 309?
Answer» What is the range of 151, 213, -196, 372 and 309?

Discussion

1824.	The smallest number among −23,−96,−52 and −34 is .
Answer» The smallest number among $- \frac{2}{3}$ , $- \frac{9}{6}$ , $- \frac{5}{2}$ and $- \frac{3}{4}$ is .

Discussion

1825.	If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw the quadrilateral ABCD? If you can, will this quadrilateral be unique?
Answer» If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw the quadrilateral ABCD? If you can, will this quadrilateral be unique?

Discussion

1826.	Question 91 (v) Factorise the following: y2+4y−21
Answer» Question 91 (v) Factorise the following: $y^{2} + 4 y - 21$

Discussion

1827.	Find the circumference of the circle, whose area is 144 cm2.
Answer» Find the circumference of the circle, whose area is 144 cm².

Discussion

1828.

XYZ store plans to give a festival discount to its customers. The store management has decided to give discount on the following criteria: Shopping Amount Discount Offered >=500 and <1000 5% >=1000 and <2000 8% >=2000 10% An additional discount of 5% is given to customers who are the members of the store. Create a program using user defined function that accepts the shopping amount as a parameter and calculates discount and net amount payable on the basis of the following conditions:Net Payable Amount = Total Shopping Amount – Discount.

Answer» XYZ store plans to give a festival discount to its customers. The store management has decided to give discount on the following criteria:

Shopping Amount	Discount Offered
>=500 and <1000	5%
>=1000 and <2000	8%
>=2000	10%

An additional discount of 5% is given to customers who are the members of the store. Create a program using user defined function that accepts the shopping amount as a parameter and calculates discount and net amount payable on the basis of the following conditions:

Net Payable Amount = Total Shopping Amount – Discount.

Discussion

1829.	Find the value of (66)2 by visualizing the identity (a+b)2=a2+2ab+b2.
Answer» Find the value of $(66)^{2}$ by visualizing the identity $(a + b)^{2} = a^{2} + 2 a b + b^{2}$ .

Discussion

1830.	Factorise30x+65x+25
Answer» Factorise30x+65x+25

Discussion

1831.	Sides BC, CA and AB of a triangle ABC are produced in an order, forming exterior angles ∠ACD, ∠BAE and ∠CBF. Show that ∠ACD + ∠BAE + ∠CBF = 360°.
Answer» Sides BC, CA and AB of a triangle ABC are produced in an order, forming exterior angles ∠ACD, ∠BAE and ∠CBF. Show that ∠ACD + ∠BAE + ∠CBF = 360°.

Discussion

1832.	In a village six fruit merchants sold the following number of fruit baskets in a particular season:Observe this pictograph and answer the following questions:(a) Which merchant sold the maximum number of baskets?(b) How many fruit baskets were sold by Anwar?(c) The merchants who have sold 600 or more number of baskets are planning to buy a godown for the next season. Can you name them ?
Answer» In a village six fruit merchants sold the following number of fruit baskets in a particular season: Observe this pictograph and answer the following questions: (a) Which merchant sold the maximum number of baskets? (b) How many fruit baskets were sold by Anwar? (c) The merchants who have sold 600 or more number of baskets are planning to buy a godown for the next season. Can you name them ?

Discussion

1833.	A cube is cut into x smaller cubes each of volume 8cm3. If volume of the entire cube is 512 cm3, then find the value of 'x'.
Answer» A cube is cut into x smaller cubes each of volume 8 $c m^{3}$ . If volume of the entire cube is 512 $c m^{3}$ , then find the value of 'x'.

Discussion

1834.	The cube of a natural number of the form 3x+2 where x is a positive integer is of the form. Option are : 1. 3x+1 2. 3x+2 3. 3x 4. None of these
Answer» The cube of a natural number of the form 3x+2 where x is a positive integer is of the form. Option are : 1. 3x+1 2. 3x+2 3. 3x 4. None of these

Discussion

1835.	Find the cubes of 10, 30, 100, 1000. What can you say about the zeros at the end?
Answer» Find the cubes of 10, 30, 100, 1000. What can you say about the zeros at the end?

Discussion

1836.	Question 47Answer True/False.In an equation, the LHS is equal to the RHS.
Answer» Question 47 Answer True/False. In an equation, the LHS is equal to the RHS.

1836.

Question 47Answer True/False.In an equation, the LHS is equal to the RHS.

Answer»

Question 47

Answer True/False.

In an equation, the LHS is equal to the RHS.

Discussion

1837.	At the first minimum of a single-slit diffraction pattern, the phase difference between the Huygens wavelet, from the edge of the slit and the wavelet from the mid-point of the slit is,
Answer» At the first minimum of a single-slit diffraction pattern, the phase difference between the Huygens wavelet, from the edge of the slit and the wavelet from the mid-point of the slit is,

Discussion

1838.	Question 102 State whether the statements are True or False. The sum of interior angles and the sum of exterior angles taken in an order are equal in case of quadrilaterals only.
Answer» Question 102 State whether the statements are True or False. The sum of interior angles and the sum of exterior angles taken in an order are equal in case of quadrilaterals only.

Discussion

1839.	Question 11 In the following question out of the four options only one is correct, write the correct answer. The value of S in 13+S=25 is : (a) 45 (b) 115 (c) 10 (d) 0
Answer» Question 11 In the following question out of the four options only one is correct, write the correct answer. The value of S in $\frac{1}{3} + S = \frac{2}{5}$ is : (a) $\frac{4}{5}$ (b) $\frac{1}{15}$ (c) 10 (d) 0

1839.

Question 11 In the following question out of the four options only one is correct, write the correct answer. The value of S in 13+S=25 is : (a) 45 (b) 115 (c) 10 (d) 0

Answer»

Question 11

In the following question out of the four options only one is correct, write the correct answer.

The value of S in $\frac{1}{3} + S = \frac{2}{5}$ is :

(a) $\frac{4}{5}$

(b) $\frac{1}{15}$

(c) 10

(d) 0

Discussion

1840.	Express 8−2 as a exponent with base 2 .
Answer» Express $8^{- 2}$ as a exponent with base 2 .

Discussion

1841.	Study the following information carefully and answer the questions given below: A, B, C, D, E, F, G and H are sitting around a circle facing at the centre. B is second to the right of H and third to the left of A. D is not an immediate neighbor of either B or H and is second to the right of F. C is fourth to the right of G. Who is to the immediate right of B?
Answer» Study the following information carefully and answer the questions given below: A, B, C, D, E, F, G and H are sitting around a circle facing at the centre. B is second to the right of H and third to the left of A. D is not an immediate neighbor of either B or H and is second to the right of F. C is fourth to the right of G. Who is to the immediate right of B?

Discussion

1842.	Convert the following ratios into percentage. (i) 15 : 25 (ii) 47 : 50 (iii) 710 (iv) 546600 (v) 716
Answer» Convert the following ratios into percentage. (i) 15 : 25 (ii) 47 : 50 (iii) $\frac{7}{10}$ (iv) $\frac{546}{600}$ (v) $\frac{7}{16}$

Discussion

1843.	A road is made of 110 bricks resembling parallelograms of base 15 cm and height 20 cm. Find the cost of laying the road if it costs $5 per 100 cm2.1650
Answer» A road is made of $110$ bricks resembling parallelograms of base $15 c m$ and height $20 c m$ . Find the cost of laying the road if it costs $$ 5$ per $100 c m^{2}$ . 1650

Discussion

1844.	If 15 mangoes cost rupees 75.75 find the cost of 27 mangoes?
Answer» If 15 mangoes cost rupees 75.75 find the cost of 27 mangoes?

Discussion

1845.	The maximum number of digits in the repeating block of digits of 1/17 is q-1=17-1=16. Does q-1 hold true for all rational numbers?
Answer» The maximum number of digits in the repeating block of digits of 1/17 is q-1=17-1=16. Does q-1 hold true for all rational numbers?

Discussion

1846.	Select the pair of numbers having the same exponents.
Answer» Select the pair of numbers having the same exponents.

Discussion

1847.	Which equilateral polygon has each interior angle as 135 degrees?
Answer» Which equilateral polygon has each interior angle as 135 degrees?

Discussion

1848.

Obtain the mean of the following distribution: Variable (xi) 4 6 8 10 12 Frequency (fi) 4 8 14 11 3

Answer» Obtain the mean of the following distribution:

Variable (x_i)	4	6	8	10	12
Frequency (f_i)	4	8	14	11	3

Discussion

1849.	In the given figure, if y=36∘ and z=40∘ determine x. If y and z were complementary angles, show that x would have been 12 right angle.
Answer» In the given figure, if $y = 36^{\circ}$ and $z = 40^{\circ}$ determine x. If y and z were complementary angles, show that x would have been $\frac{1}{2}$ right angle.

Discussion

1850.	Mark the correct alternative in each of the following:The improper fraction 2125 in decimal form is(a) 2.4 (b) 2.04 (c) 2.004 (d) None of these
Answer» Mark the correct alternative in each of the following: The improper fraction $2 \frac{1}{25}$ in decimal form is (a) 2.4 (b) 2.04 (c) 2.004 (d) None of these

Discussion

Explore topic-wise InterviewSolutions in .

The maximum area of a rectangle that can be inscribed in a circle x2+y2=25 is equal to (in sq units)

25 men can complete a task in 4 days. How many days does it take for 20 men to complete the same task?

The teacher distributes 1 sheet of graph paper to each student. The class has 2b boys and 3g girls. What is the expression for the total number of sheets of graph paper distributed?

U = {x: x is a natural number and x ≤ 10}A = {a : a is an even natural number and a &lt; 10} B = {b : b is a prime number and b ≤ 9}What is the value of AI ∩ BI?

Question 94 (ii)Carry out the following division:76x3yz3÷19x2y2

Question 61Fill in the blanks to make the statements true.The number of sides of a regular polygon, where each exterior angle has a measure of 36∘, is ___.

Nirmala deposited Rs. 300 per month for 12 months in a bank's recurring deposit account. If the interest is 20 %, find the amount she gets on maturity.

In a class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?

A man bought 2 shirts, which together cost him ₹ 480. He sold one of them at a loss of 15% and the other at a gain of 19%. If the selling price of both the shirts are equal, find the cost price of the lower priced shirt.

If length and breadth of a rectangle is 'x' and 'y' respectively, then the perimeter of the rectangle is ____.

What is the value 9.4 - 2.6?

{ (6) If }p(x)=(1+x^2+x^4+...+x^{2n-2})/(1+x+x^2+...+x^{n-1})}{ is a polynomial in }x, then find possible values of }n.

If 'x' be the number of lines of symmetry for a parallelogram, then the value of x3 is___.\N

The area of a trapezium is 405 cm2. Its parallel sides are in the ratio 4 : 5 and the distance between them is 18 cm. Find the length of each of the parallel sides.

Question 77State whether the following statement is true or false:Cube of an even number is odd.

The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart. [4 MARKS] LanguageNo. of StudentsHindi40English12Marathi9Tamil7Bengali4Total72

In a flight of 2800 km, an aircraft was slowed down due to today's weather. It's average speed for the trip was reduced by 100 km/hour and the time increased by 30 minutes. Find the original duration of the flight.

{ 4. Using division algorithm, prove that if }(x+a) is a }}{ factor of }f(x)=ax^3+bx^2+cx+d, then }}{-a^4+a^2b-ac+d=0

Find the equation of the circle which passes through the origin and cuts off intercepts 3 unitsand 4 units from the positive parts of the x-axis and y-axis respectively.YA

Question 51State whether the following statement is True or False.The number of edges in a parallelogram is 4.

The mean of the following distribution is:xi10131619fi2576

Question 4(ii)Divide as directed26xy(x+5)(y−4)÷13x(y−4)

What is the range of 151, 213, -196, 372 and 309?

The smallest number among −23,−96,−52 and −34 is .

If you have AB = 3 cm, BC = 4 cm, CD = 5 cm &amp; and DA = 6 cm, can you draw the quadrilateral ABCD? If you can, will this quadrilateral be unique?

Question 91 (v) Factorise the following: y2+4y−21

Find the circumference of the circle, whose area is 144 cm2.

Find the value of (66)2 by visualizing the identity (a+b)2=a2+2ab+b2.

Factorise30x+65x+25

Sides BC, CA and AB of a triangle ABC are produced in an order, forming exterior angles ∠ACD, ∠BAE and ∠CBF. Show that ∠ACD + ∠BAE + ∠CBF = 360°.

A cube is cut into x smaller cubes each of volume 8cm3. If volume of the entire cube is 512 cm3, then find the value of 'x'.

The cube of a natural number of the form 3x+2 where x is a positive integer is of the form. Option are : 1. 3x+1 2. 3x+2 3. 3x 4. None of these

Find the cubes of 10, 30, 100, 1000. What can you say about the zeros at the end?

Question 47Answer True/False.In an equation, the LHS is equal to the RHS.

At the first minimum of a single-slit diffraction pattern, the phase difference between the Huygens wavelet, from the edge of the slit and the wavelet from the mid-point of the slit is,

Question 102 State whether the statements are True or False. The sum of interior angles and the sum of exterior angles taken in an order are equal in case of quadrilaterals only.

Question 11 In the following question out of the four options only one is correct, write the correct answer. The value of S in 13+S=25 is : (a) 45 (b) 115 (c) 10 (d) 0

Express 8−2 as a exponent with base 2 .

Convert the following ratios into percentage. (i) 15 : 25 (ii) 47 : 50 ​ (iii) 710 (iv) 546600 (v) 716

A road is made of 110 bricks resembling parallelograms of base 15 cm and height 20 cm. Find the cost of laying the road if it costs $5 per 100 cm2.1650

If 15 mangoes cost rupees 75.75 find the cost of 27 mangoes?

The maximum number of digits in the repeating block of digits of 1/17 is q-1=17-1=16. Does q-1 hold true for all rational numbers?

Select the pair of numbers having the same exponents.

Which equilateral polygon has each interior angle as 135 degrees?

Obtain the mean of the following distribution: Variable (xi) 4 6 8 10 12 Frequency (fi) 4 8 14 11 3

In the given figure, if y=36∘ and z=40∘ determine x. If y and z were complementary angles, show that x would have been 12 right angle.

Mark the correct alternative in each of the following:The improper fraction 2125 in decimal form is(a) 2.4 (b) 2.04 (c) 2.004 (d) None of these

U = {x: x is a natural number and x ≤ 10}A = {a : a is an even natural number and a < 10} B = {b : b is a prime number and b ≤ 9}What is the value of AI ∩ BI?

If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw the quadrilateral ABCD? If you can, will this quadrilateral be unique?

Convert the following ratios into percentage. (i) 15 : 25 (ii) 47 : 50 (iii) 710 (iv) 546600 (v) 716